Remember to show all of the steps that you use to solve the problem. At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (–2, –5) and moved 3 steps up and 1 step right. a. Write a rule to describe the translation. b. What were the coordinates of the drummer's final position?
b. A (-2, -5), B(x, y).
x = -2 + 1 =
y = -5 + 3 =
I see any point (x,y) -----> (x+1, y+3) , x is your horizontal (left and right), y is your vertical (up and down)
So what is the lead drummer's new point ?
a. To describe the translation, we have to consider the movement of the lead drummer. The drummer started at the point with coordinates (-2, -5) and moved 3 steps up and 1 step right.
In terms of translation, moving up is represented by adding to the y-coordinate, and moving to the right is represented by adding to the x-coordinate.
So, the rule to describe the translation would be:
Move 3 units up (add 3 to the y-coordinate) and move 1 unit right (add 1 to the x-coordinate).
b. To find the drummer's final position, we need to apply the translation rule to the starting point (-2, -5).
Adding 3 to the y-coordinate and 1 to the x-coordinate, we get:
New y-coordinate = -5 + 3 = -2
New x-coordinate = -2 + 1 = -1
Therefore, the drummer's final position is (-1, -2).